Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38688b |
Isogeny class |
Conductor |
38688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10830163968 = 212 · 38 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2257,40223] |
[a1,a2,a3,a4,a6] |
Generators |
[2:189:1] |
Generators of the group modulo torsion |
j |
310563811648/2644083 |
j-invariant |
L |
8.5165451161097 |
L(r)(E,1)/r! |
Ω |
1.2868259823892 |
Real period |
R |
1.6545642597876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38688c3 77376l1 116064n3 |
Quadratic twists by: -4 8 -3 |